构造模糊蕴涵的新序和方法
The Novel Method of Constructing Fuzzy Implications by Ordinal Sum

借助半群序和理论,从一族给定的模糊蕴涵出发,定义了一种新的序和,给出了这种序和成为模糊蕴涵的充要条件,研究表明这种新的序和推广并统一了当前2种模糊蕴涵序和的构造方法,最后讨论了这种新序和的若干性质.
With the aid of the ordinal theory of semigroups,starting from the family of fuzzy implications,a novel ordinal sum of fuzzy implications is defined,and the necessary and sufficient conditions of this ordinal sum becoming a fuzzy implication are given,then the current two methods of constructing fuzzy implications using the ordinal theory are generalized and unified.Finally,some properties of the ordinal sum of fuzzy implications are discussed